Question

Which of the following is the equation for the line parallel to the line y = 45x - 1 that passes through the point (0, 6)?

a) y = 45x - 1
b) y = 45x + 6
c) y = 6x - 1
d) y = 6x + 45

Answer 1

The equation for the line parallel to y = 45x - 1 that passes through the point (0, 6) is y = 45x + 6.

Step-by-step explanation:

The equation for a line parallel to y = 45x - 1 has the same slope, but a different y-intercept. Since the given line has a slope of 45, the parallel line will also have a slope of 45. Since the parallel line passes through the point (0, 6), we can substitute these coordinates into the slope-intercept form y = mx + b to solve for the y-intercept b. So, the equation for the line parallel to y = 45x - 1 that passes through (0, 6) is y = 45x + 6 (Option b).